SOLUTION: I need help please: A cellular phone company offers its customers a rate of $49 for up to 200 min per month of cellular phone time, or a rate of $31 per month plus $0.60 for each m

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Question 988104: I need help please: A cellular phone company offers its customers a rate of $49 for up to 200 min per month of cellular phone time, or a rate of $31 per month plus $0.60 for each minute of cellular phone time. For how many minutes per month can a customer who chooses the second option use a cellular phone before the charges exceed those of the first option?

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I need help please: A cellular phone company offers its customers a rate of $49 for up to 200 min per month of cellular phone time, or a rate of $31 per month plus $0.60 for each minute of cellular phone time. For how many minutes per month can a customer who chooses the second option use a cellular phone before the charges exceed those of the first option?
Let the amount of minutes used for option 2 that'll exceed charges for option 1, be m
Option 1: Cost, or C%28m%29+=+%22%24%2249 for m+%3C=+200
Option 2: Cost, or C%28m%29+=+.6m+%2B+31
For C(m) for option 2 to exceed C(m) for option 1, we get: .6m+%2B+31+%3E+49
.6m+%3E=+49+-+31
.6m+%3E+18
m, or minutes > 18%2F.6, or highlight_green%28m+%3E+30%29